At 7 a.m., Cody left Hotel J in his car and travelled towards Hotel K at 90 km/h. At the same time, Sam left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Sam reached Hotel L at 9.30 a.m., Cody was 10 km away from Hotel K.
- What was the distance from Hotel J to Hotel K?
- If the distance between Hotel K and Hotel L was 420 km, what was Sam's speed?
(a)
From 7 a.m. to 9.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel J to Hotel K
= 90 x 2
12 + 10
= 90 x
52 + 10
= 225 + 10
= 235 km
(b)
Distance travelled by Sam
= 420 - 235
= 185 km
Sam's speed
= 185 ÷ 2
12 = 185 ÷
52 = 185 x
25 = 74 km/h
Answer(s): (a) 235 km; (b) 74 km/h